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Research Paper | Mathematics | India | Volume 5 Issue 4, April 2016

Second Hankel Determinant for Multivalent Spirallike and Convex Functions of Order Alpha

M. Elumalai | C. Selvaraj ^[3]

Abstract: The objective of this paper is to obtain an upper bounded to the second Hankel determinant $|a_{p+1}a_{p+3}-a_{p+2}^2|$ for $alpha-$ spiral starlike and convex $alpha-$ spiral function of $f$ and using Teoplitz determinants.

Keywords: Analytic functions, multivalent functions, $alpha-$ spiral starlike functions, convex $alpha-$ spiral function, upper bound, second hankel functional, positive real function, Toeplitz determinants

Edition: Volume 5 Issue 4, April 2016,

Pages: 2029 - 2034

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